I’d say it brings the profession into disrepute and it shows a lack of professionalism, and poor judgement, for a start...
By being naked?
Presumably naturist beaches are off limits then?
I don't understand how being naked can possibly be a reflection on someone's professionalism, nor how it brings their profession into disrepute. They're going on the show as a private individual, they're not breaking any laws, acting indecently or offensively, or in any way that diminishes their ability to carry out their role.